austinsteele242005
Answered

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Find the distance between the two points listed below.
(3,7) and (-5, -8)

Sagot :

gmany

Answer:

17

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

We have

[tex]A(3;\ 7);\ B(-5;\ -8)[/tex]

Substitute

[tex]|AB|=\sqrt{(-5-3)^2+(-8-7)^2}=\sqrt{(-8)^2+(-15)^2}\\\\=\sqrt{64+225}=\sqrt{289}=17[/tex]
17 because when graphing the first number goes five squares to the left and 8 squares down there’s where u plot the first point the second u go three squares to the right and seven squares up
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